The value of the given fraction 3/8 - 8/11 after the evaluation is -31/88.
What are fractions?A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. There are three major types of fractions in mathematics. Proper fractions, improper fractions, and mixed fractions are the three types. Fractions are terms that have a numerator and a denominator.So, evaluation of 3/8 - 8/11:
First, we will take the LCM of 8 and 11.LCM of 8, 11 = 88Now,
3/8 - 8/11[11(3) - 8(8)]/88(33 - 64)/88-31/88Therefore, the value of fraction 3/8 - 8/11 after the solution is -31/88.
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Your friend invested $1000 in an account that pays 6% annual interest. How much interest will your friend have after her college graduation in 4 years?
b. What equation should you use to model this situation?
The equation that suits the model is given as I = Prt and the interest the friend will have after her college graduation in 4 years will be $240
The formula to be used to is given as :
I = Prt (1)
where, I = simple interest
P = principal amount or amount initially deposited.
r = annual interest rate
t = time
According to the question we have been given that
P = $1000
r = 0.06
t = 4 years
Putting the required values in equation (1) we get
I = 1000*0.06*4
I = 240
hence the equation that suits the model is given as
I = Prt
and the interest the friend will have after her college graduation in 4 years will be $240
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Is
f(x)
f(n)
f(a number)
Does all of them mean y?
The formula for the area A of a trapezoid
A = 1/2 (b + b,)h. Solve for b
[Mathematical Situation]
Solve for [tex]b_1[/tex]; [tex]A=\frac{1}{2} (b_{1} + b_2)h[/tex]
Solution:
[tex]b_1=\frac{2a}{h}-b_2[/tex]
Hope this helps!
25, 8, 10, 35, 5, 45, 40, 30, 20 What is the median of the given data set?
Answer:
25
Step-by-step explanation:
Arrange numbers to ascending order :
5,8,10,20,25,30,35,40,45
Cross of the smallest and biggest number until you left with one in the middle
A laptop has a listed price of $887.99 before tax. If the sales tax rate is 9.75%, find the total cost of the laptop with sales tax included.
The total cost of the laptop, including the sales tax, is $974.57.
How is the total cost determined?The total cost of the laptop is the addition of the listed price and the sales tax (dollars).
The listed price refers to the retailer's (seller's) price before the addition of the sales tax.
After adding the sales tax to the listed price, the total cost is obtained.
Therefore, sales tax, which is a proportional tax, increases the cost of goods and services to consumers.
Data and Calculations:Listed price before tax = $887.99
Sales tax rate = 9.75%
Total cost after tax = $974.57 ($887.99 x 1.0975)
Thus, the total cost of the laptop after factoring in the sales tax is $974.57.
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What is the side length of a square house with an area of 9 kilometers?
Answer:
3
Step-by-step explanation:
[tex]\mathrm{a = \sqrt{A} = \sqrt{9} = 3}[/tex]
Find an equation in point-slope form for the line having the slope m=5 and containing the point (7,1).
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 5}(x-\stackrel{x_1}{7})[/tex]
helpppp pls !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The entries that complete the blanks are 20.39, 20.78, 21.17 and 20 + 0.39n
How to determine the total amounts?The given parameters are
Invitation = $20
Stamps = $0.39 per stamp
So, the total amount spent is calculated as
Total = Invitation + Stamps * Number stamps
This gives
Total = 20 + 0.39 * Number stamps
For stamps 1, 2, 3 and n, we have
Total = 20 + 0.39 * 1 = 20.39
Total = 20 + 0.39 * 2 = 20.78
Total = 20 + 0.39 * 3 = 21.17
Total = 20 + 0.39 n
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Simplify each expression.
ln 1
ln (1) = 0, by properties of logarithms.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Now,
ln (1) = [tex]log_e(1)[/tex]
By properties of logarithms, we get that: [tex]log_b(1) = 0[/tex], for any value of b.
Hence, ln (1) = 0, by properties of logarithms.
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PLS HELP
Look at the picture I attached, please help!
The expression which models the maximum number of days in which she can rent the car is 20x + 10 ≤ 80
How to illustrate the information?The maximum amount to spend = 80
Fixed charge per day $20
Charge per mile = $0.10
The inequality which represents the number of days Can be expressed thus :
(Charge per day × number of days) + (charge per mile × number of miles) ≤ 80
20x + 0.10 × 100 ≤ 300
20x + 10 ≤ 300
Hence, the required inequality expression is 20x + 10 ≤ 80.
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Multiply. (3+√2)(4+√2)
The multiplication of the expression ( 3 + √2)( 4 +√2 ) is 14 + 7√2.
Multiplication in elementary algebra is the process of figuring out the outcome of multiplying a number by a number b. The product of a and b is the outcome of multiplication, and each of the integers a and b is referred to as a factor of the product ab.
Consider the expression,
y = ( 3 + √2)( 4 +√2 )
Using the distributive property,
a( b + c ) = ab + ac
y = ( 3 + √2)( 4 +√2 )
y = 3( 4 + √2 ) + √2( 4 + √2 )
y = 3 × 4 + 3 × √2 + √2 × 4 + ( √2 )²
y = 12 + 3√2 + 4√2 + 2
y = 14 + √2( 3 + 4 )
y = 14 + 7√2
The value of the expression ( 3 + √2)( 4 +√2 ) when simplified is 14 + 7√2.
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40PTS. When you are getting dressed, you put your socks on first and then your shoes on second. But to undo this, you take your shoes off first and your socks off second. Why do you have to reverse the order? Use this scenario to help you explain why it is helpful to work backward when solving equations.
The loudness in decibels dB of a sound is defined as 10 log I/I₀ , where I is the intensity of the sound in watts per square meter (W / m²) . I₀ , the intensity of a barely audible sound, is equal to 10⁻¹²W/m². Town regulations require the loudness of construction work not to exceed 100 dB . Suppose a construction team is blasting rock for a roadway. One explosion has an intensity of 1.65x10²W/m² . Is this explosion in violation of town regulations?
a. Which physical value do you need to calculate to answer the question?
a) The explosion does violate the town regulation
b) The two physical quantities are the I(intensity of the sound) and
[tex]I_{o}[/tex] (detectable intensity)
The values that we have been given are
L = loudness of the sound = 10 log(I/[tex]I_{o}[/tex])
I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]
[tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]
Putting the required value in the equation of the loudness we get
a) L = [tex]10 log(\frac{1.65*10^{2} }{10^{-12} } )\\[/tex]
L = 10 * 14.217 dB = 142.17 dB
And according to the town regulation the loudness of the construction work should not exceed 100dB.
Thus the explosion is in violation of the town regulation as it exceeds 100dB.
b) the two physical value we have to calculate are I which is intensity of the sound in watts per square meter and [tex]I_{o}[/tex] which is intensity of barely audible sound. The respective values are
I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]
[tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]
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WARM UP: Graph the coordinates of the triangle in the coordinate plane. Multiply each coordinate by a scale factor of 3 (k=3). Then, graph the new triangle.
The two triangles are similar triangles and the graph of the triangles are attached
Graph the coordinates of the triangle in the coordinate plane.The coordinates of the triangle are given as
A (0, 3), B (3, 3) and C (3, -1)
So, we enter the above coordinates in a graphing calculator
See attachment for the graph of the triangle
Multiply each coordinate by a scale factor of 3 (k=3).
Here, we have
A' 3 * (0, 3), B' 3 * (3, 3) and C' 3 * (3, -1)
This gives
A' (0, 9), B' (9, 9) and C' (9, -3)
Next, we enter the above coordinates in a graphing calculator
See attachment for the graph of the triangle
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Find the distance between each pair of points.
ILL GIVE 20 POINTS TO WHOEVER ANSWERS FIRST
I've been waiting for 2 hours
Which of the following numbers is irrational? (5 points)
negative 7 over 4 , 2 over 3 , square root of 3 , square root of 4
negative 7 over 4
2 over 3
square root of 3
square root of 4
The irrational number in this data-set is given by the square root of 3.
What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, such as whole numbers, or numbers in which the decimal parts are terminating or repeating.Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots and also for the pi number.In this problem, we have that:
7/4 and 2/3 are fractions, hence they are rational.The square root of 3 is a non-exact square root, hence it is irrational.The square root of 4 is a exact square root, hence it is rational.Hence:
The irrational number in this data-set is given by the square root of 3.
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Please answer!!!!!!!!
Rectangle EFGH has vertices E(−3, 4), F(−2, 4), G(−2, −2), and H(−3, −2).
A dilation with a scale factor of 3 and centered at the origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of (−6, 12)?
E′
F′
G′
H′
The vertex F(−2, 4) in the dilated image has coordinates of (−6, 12) option (B) F' is correct.
What is dilation?The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
It is given that:
The coordinates are:
Rectangle EFGH has vertices E(−3, 4), F(−2, 4), G(−2, −2), and H(−3, −2).
After applying dilation with a scale factor of 3:
E(−3, 4) → E'(-3x3, 4x3) = E'(-9, 12)
Similarly,
F(−2, 4) → F'(-6, 12)
G(−2, −2) → G'(-6, -6)
H(−3, −2) → H'(-9, -6)
Thus, the vertex F(−2, 4) in the dilated image has coordinates of (−6, 12) option (B) F' is correct.
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help im homschooled n nun of the teachers help
Answer:
2
Step-by-step explanation:
400 students were surveyed about their favorite school lunch. Exactly how many students chose pizza as their favorite school lunch based upon the data in the circle graph above?
The students chose pizza as their favorite school lunch based upon the data will be 130 students.
How to illustrate the information?Let the assumed fraction for those who choose pizza be 3/10.
From the information, 400 students were surveyed about their favorite school lunch.
Therefore, the students chose pizza as their favorite school lunch based upon the data will be:
= Fraction for pizza × Total students
= 3/10 × 400
= 120 students
Note that an overview was given as the graph wasn't found.
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2+2 (free easy answer)
Answer:
5-1, known colloquially as four, 4, or 1+3.
Step-by-step explanation:
What is 16,504÷55. Using 2 digit divisors write the remainder as a fraction.
16504 divided by 55 equals
300+ 4/55.
First we know about -
Divisor: The number by which the dividend is divided.
Quotient: The result of division.
Remainder: The amount that is left over after division.
Rules for the Division -
1. Take the first digits of the dividend, the same number of digits that the divisor has. If the number taken from the dividend is smaller than the divisor, you need to take the next digit of the dividend.
2. Divide the first number of the dividend (or the two first numbers if the previous step took another digit) by the first digit of the divisor. Write the result of this division in the space of the quotient.
3. Multiply the digit of the quotient by the divisor, write the result beneath the dividend and subtract it. If you cannot, because the dividend is smaller, you will have to choose a smaller number in the quotient until it can subtract.
4. After subtraction, drop the next digit of the dividend and repeat from step 2 until there are no more remaining numbers in the dividend.
0 0 3 0 0
5 5 ) 1 6 5 0 4
− 0
1 6
− 0
1 6 5
− 1 6 5
0 0
− 0
0 4
− 0
4
16504 divided by 55 equals
300 with a remainder of 4
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There are 6 circles and 3 squares. what is the simplest ratio of squares to circles? : attempt 1 out of 2 da'kyra jordan simplifying ratios (basic) sep 26, 7:01:57 pm there are 6 circles and 3 squares. what is the simplest ratio of squares to circles?
Given that there are 6 circles and 3 squares, the simplest ratio of squares to circles is 1 : 2 or 1 to 2 or 1/2.
Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.
It can be expressed in different ways:
1) Use the ":" to separate the values : a : b
2) Use the word "to" : a to b
3) Write it in fraction: a / b
If there are 6 circles and 3 squares. then the ratio of squares to circles can be written as:
3 : 6 or 3 to 6 or 3/6
To simplify the ratio, divide both numbers in the ratio by the same number until they cannot be divided any more.
Divide both number by 3.
3 : 6 = 1 : 2
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10x−y = 10
−2x+ 5y = −2
Answer:
x=1 & y=0
Step-by-step explanation:
15. Given the following relation {(2, 1), (-4,5), (1,7), (2, -3), (-1,2)), determine if it is a function.
We get that the relation { ( 2 , 1) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) } is a function.
We are given a relation as:
{ ( 2 , 1 ) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) }
We need to find that whether it is a function or not.
A relation is a set that shows a relationship between two values. A function is from a set X to a set Y assigns to each element of X exactly one element of Y.
Here, we can see that it is a function as one value of x only has one image in the set y.
Therefore, we get that the relation { ( 2 , 1) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) } is a function.
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35° 91° 65° 28 What anglemeasures is this?
The angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle
How to identify each of the angle measures?The angle measures are given as:
35° 91° 65° 28°
As a general rule:
Angles that are less than 90 degrees are acute angles
This means that
The angles 35° 65° and 28° are acute angles
Also, we have
Angles that are between 90 degrees and 180 degrees are obtuse angles
This means that
The angle 91° is an obtuse angle
Hence, the angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle
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Complete question
What angle measure is this? 35° 91° 65° 28°
acute, right, obtuse, straight, or reflex
The results of a survey of customers at a pet supply store showed that 33 owned dogs, 42 owned parrots, and 20 owned both dogs and parrots. How many owned either a dog or a parrot?
of the customers surveyed, owned either a dog or a parrot
(Type an integer or a decimal.)
Based on the number of customers who owned parrots, dogs and parrots, and dogs, the number who owned either a dog or a parrot were 55 customers
How to find the number who owned either a dog or parrot?The number of people who owned a parrot was 42. 33 people also owned a dog. Some of these people owned both a dog and a parrot and they numbered 20.
To find the number of customers who owned either a dog or a parrot, the formula is:
= Number of customers who owned a dog + Number of customers who owned a parrot - Number of customers who owned both a dog and parrot
= 33 + 42 - 20
= 75 - 20
= 55 customers
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Amari and ethan planned an end-of-season soccer party. they purchased 45 hot dogs and 30 individual bags of chips.
15 is the greatest number of people they can be without having any leftovers
Given data
45 hotdogs in 30 individual bags of chips
How to solve for the greatest number of people they can be without having any leftoversGiven data
45 hotdogs in 30 individual bags of chips
The greatest common factor of 45 and 30 is 15
using ratio
45 : 30
3 : 2
This means that one person will receive 3 hotdogs in 2 bags. Also 15 people will get the equal amount without left overs
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complete question
Amari and Ethan planned an end of season soccer party to purchase 45 hotdogs in 30 individual bags of chips which person will receive the same amount of food what is the greatest number of people they can be without having any leftovers
Simplify 5√12xm³
Assume x and m are nonnegative.
O 60√xm³
O 60m³√x
O 10m³√3x
O 10m√3xm
Answer:
[tex]\sf 10m\sqrt{3xm}[/tex]
Step-by-step explanation:
To simplify the expression, factorize 12. For every two items inside the square root, take one outside.
[tex]\sf 5\sqrt{12xm^3} = 5\sqrt{2*2*3*x*m*m*m}[/tex]
[tex]\sf = 5*2*m\sqrt{3xm}\\\\=10m\sqrt{3xm}[/tex]
Can I please have answers to this question
Answer:
6. Slope = 2
7. y-intercept = 5
8. Equation: y = 2x + 5
Step-by-step explanation:
Question 6To find the slope of a line, define two points on the line:
(x₁, y₁) = (0, 5)(x₂, y₂) = (1, 7)Substitute these values into the slope formula and solve for m:
[tex]\implies \textsf{slope}\:(m)=\dfrac{7-5}{1-0}= \dfrac{2}{1}=2[/tex]
Therefore, the slope of the graph is [tex]\boxed{2}[/tex].
Question 7The y-intercept is the y-value of the point at which the line crosses the y-axis.
From inspection of the given graph, the y-intercept is [tex]\boxed{5}[/tex].
Question 8Slope-intercept form of a linear equation:
[tex]y=mx+b[/tex]
Where:
m = slopeb = y-interceptSubstitute the found slope and found y-intercept into the formula to create an equation for the line:
[tex]\boxed{y=2x+5}[/tex]
Describe the difference between perfect square roots and non-perfect squares. Write at least two complete sentences.
Answer:
In this particular type of question we need to understand that perfect squares are the squares of the integers numbers and perfect square always end in 0,1,4,5,6,9.A perfect square number never ends with 2,3,7 or 8 .This is the first observation you will make to check if the number is a perfect square or not.
Step-by-step explanation: